simplify the equation
3a-2 (2a-5)=2 (a+3)-8
Answers
Step-by-step explanation:
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Answer:
Simplifying
3a + -2(2a + -5) = 2(a + 3) + -8
Reorder the terms:
3a + -2(-5 + 2a) = 2(a + 3) + -8
3a + (-5 * -2 + 2a * -2) = 2(a + 3) + -8
3a + (10 + -4a) = 2(a + 3) + -8
Reorder the terms:
10 + 3a + -4a = 2(a + 3) + -8
Combine like terms: 3a + -4a = -1a
10 + -1a = 2(a + 3) + -8
Reorder the terms:
10 + -1a = 2(3 + a) + -8
10 + -1a = (3 * 2 + a * 2) + -8
10 + -1a = (6 + 2a) + -8
Reorder the terms:
10 + -1a = 6 + -8 + 2a
Combine like terms: 6 + -8 = -2
10 + -1a = -2 + 2a
Solving
10 + -1a = -2 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
10 + -1a + -2a = -2 + 2a + -2a
Combine like terms: -1a + -2a = -3a
10 + -3a = -2 + 2a + -2a
Combine like terms: 2a + -2a = 0
10 + -3a = -2 + 0
10 + -3a = -2
Add '-10' to each side of the equation.
10 + -10 + -3a = -2 + -10
Combine like terms: 10 + -10 = 0
0 + -3a = -2 + -10
-3a = -2 + -10
Combine like terms: -2 + -10 = -12
-3a = -12
Divide each side by '-3'.
a = 4
Simplifying
a = 4